Solve v-12/1000+v/6000+(5*10^-3)=0

$$\frac { v - 12 } { 1000 } + \frac { v } { 6000 } + ( 5 \times 10 ^ { - 3 } ) = 0$$

Solve for v

$$v=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6000, the least common multiple of 1000,6000.

$$6\left(v-12\right)+v+30000\times 10^{-3}=0$$

Use the distributive property to multiply 6 by v-12.

$$6v-72+v+30000\times 10^{-3}=0$$

Combine 6v and v to get 7v.

$$7v-72+30000\times 10^{-3}=0$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$7v-72+30000\times \frac{1}{1000}=0$$

Multiply 30000 and \frac{1}{1000} to get 30.

$$7v-72+30=0$$

Add -72 and 30 to get -42.

$$7v-42=0$$

Add 42 to both sides. Anything plus zero gives itself.

$$7v=42$$

Divide both sides by 7.

$$v=\frac{42}{7}$$

Divide 42 by 7 to get 6.

$$v=6$$